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samples exposed Dacter ghts bacteria, viruses, and tumors, was measured. Mean production went fr er tea drinking. The mean difference for the 5 subjects is 293 pg/mL with a s per implies that the use of the t-distribution is appropriate. ,et. al., "Antigens in tea-beverage prime human Vy2Vo2 T cells in vitro and kine responses," Proceedings of the National Academy of Sciences, May 13, 20

samples exposed Dacter ghts bacteria, viruses, and tumors, was measured. Mean production went fr er tea drinking. The mean difference for the 5 subjects is 293 pg/mL with a s per implies that the use of the t-distribution is appropriate. ,et. al., "Antigens in tea-beverage prime human Vy2Vo2 T cells in vitro and kine responses," Proceedings of the National Academy of Sciences, May 13, 20

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Drink Tea for a Stronger Immune System We have seen that drinking tea appears to offer a strong boost to the immune system. In a study extending the results, blood samples were taken on 5 participants before and after one week of drinking about five cups of tea a day (the participants did not drink tea before the study started). The before and after blood samples were exposed to e.coli bacteria, and production of interferon gamma, a molecule that fights bacteria, viruses, and tumors, was measured. Mean production went from 155 pg/mL before tea drinking to 448 pg/mL after tea drinking. The mean difference for the 5 subjects is 293 pg/mL with a standard deviation in the differences of 242. The paper implies that the use of the t-distribution is appropriate. 1Adapted from Kamath, A., et. al., "Antigens in tea-beverage prime human Vy2Võ2 T cells in vitro and in vivo for memory and non- memory antibacterial cytokine responses," Proceedings of the National Academy of Sciences, May 13, 2003; 100(10): 6009-6014. Your answer is correct. (a) Which method is most appropriate for this analysis? Paired data difference in means O Type here to search
Transcribed Image Text:Drink Tea for a Stronger Immune System We have seen that drinking tea appears to offer a strong boost to the immune system. In a study extending the results, blood samples were taken on 5 participants before and after one week of drinking about five cups of tea a day (the participants did not drink tea before the study started). The before and after blood samples were exposed to e.coli bacteria, and production of interferon gamma, a molecule that fights bacteria, viruses, and tumors, was measured. Mean production went from 155 pg/mL before tea drinking to 448 pg/mL after tea drinking. The mean difference for the 5 subjects is 293 pg/mL with a standard deviation in the differences of 242. The paper implies that the use of the t-distribution is appropriate. 1Adapted from Kamath, A., et. al., "Antigens in tea-beverage prime human Vy2Võ2 T cells in vitro and in vivo for memory and non- memory antibacterial cytokine responses," Proceedings of the National Academy of Sciences, May 13, 2003; 100(10): 6009-6014. Your answer is correct. (a) Which method is most appropriate for this analysis? Paired data difference in means O Type here to search
X Your answer is incorrect. (b) Find a 90% confidence interval for the mean increase in production of interferon gamma after drinking tea for one week. Round your answers to one decimal place. The 90% confidence interval is i to i Save for Later Attempts: 1 of 4 used Submit swer e here to search
Transcribed Image Text:X Your answer is incorrect. (b) Find a 90% confidence interval for the mean increase in production of interferon gamma after drinking tea for one week. Round your answers to one decimal place. The 90% confidence interval is i to i Save for Later Attempts: 1 of 4 used Submit swer e here to search
Expert Solution
Step 1

In the given scenario, the blood samples of 5 participants are taken before and after  one week of drinking about five cups of tea a day.

Here, the same participants are taken before and after  one week of drinking about five cups of tea a day.

The most appropriate method used for the analysis is paired data in difference of means.

Let n denote the number of subjects.

Let xd¯ denote the mean difference of the subjects and sd denote the standard deviation in the differences.

That is, n = 5

xd¯ = 293 & sd = 242

The objective is to compute the 90% confidence interval for the mean .

The confidence level is,

C = 90%= 90/100= 0.90

The level of significance is,

α= 1-C=1-0.90=0.10

The degrees of freedom is,

df = n-1= 5-1=4

from t table at 0.10 level of significance with 4 degrees of freedom the two- tailed critical value is,

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